Atkin-Lehner |
2+ 3+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
49128c |
Isogeny class |
Conductor |
49128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
298861737984 = 211 · 32 · 23 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -6 5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5240,-141876] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1068:1] |
Generators of the group modulo torsion |
j |
7770885300722/145928583 |
j-invariant |
L |
5.2991534267942 |
L(r)(E,1)/r! |
Ω |
0.56176552492453 |
Real period |
R |
1.5721723719477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98256g1 |
Quadratic twists by: -4 |